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Mathematics · 2024

JEE Main · 5 April 2024, Shift 1 · Q8

Let f(x)=x^5+2 x^3+3 x+1, x ∈ R, and g(x) be a function such that g(f(x))=x for all x ∈ R. Then (g(7))/(g^′(7)) is equal to:

Let $\displaystyle f(x)=x^5+2 x^3+3 x+1, x \in \mathbf{R}$, and $\displaystyle g(x)$ be a function such that $\displaystyle g(f(x))=x$ for all $\displaystyle x \in \mathbf{R}$. Then $\displaystyle \frac{g(7)}{g^{\prime}(7)}$ is equal to:
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.